Isolate the Variable

The video tutorial explains how to solve equations with variables on both sides by isolating the variable on one side. It covers the process of identifying the smaller variable term, using the distributive property, and handling negative coefficients. The tutorial provides step-by-step examples to demonstrate these techniques, ensuring a clear understanding of solving such equations.

What is the first step in solving an equation with variables on both sides?

• Add the variables together

• Subtract the smaller variable term from both sides

• Multiply both sides by the larger variable term

• Divide both sides by the smaller variable term

In the equation 6 - 4X = 3X - 1, what operation should be performed first?

• Subtract 6 from both sides

• Subtract 3X from both sides

• Add 1 to both sides

• Add 4X to both sides

After isolating the variable term in the equation 6 = 7X - 1, what is the next step?

• Divide both sides by 7

• Subtract 1 from both sides

• Add 1 to both sides

• Multiply both sides by 7

When using the distributive property in the equation 4X + 5 = 3(X + 1), what is the result of distributing 3?

• 3X + 3

• 3X + 1

• 4X + 3

• 4X + 1

In the equation 4X + 5 = 3X + 3, what is the final step to solve for X?

• Add 3 to both sides

• Subtract 5 from both sides

• Subtract 3 from both sides

• Add 5 to both sides